977561 has 8 divisors (see below), whose sum is σ = 1089480. Its totient is φ = 870912.

The previous prime is 977539. The next prime is 977567. The reversal of 977561 is 165779.

It can be written as a sum of positive squares in 4 ways, for example, as 65536 + 912025 = 256^2 + 955^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 977561 - 2¹⁰ = 976537 is a prime.

It is a d-powerful number, because it can be written as 9⁵ + 7⁵ + 5⁷ + 7⁷ + 6² + 1 .

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 15.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (977567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 920 + ... + 1673.

It is an arithmetic number, because the mean of its divisors is an integer number (136185).

2⁹⁷⁷⁵⁶¹ is an apocalyptic number.

It is an amenable number.

977561 is a deficient number, since it is larger than the sum of its proper divisors (111919).

977561 is a wasteful number, since it uses less digits than its factorization.

977561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2635.

The product of its digits is 13230, while the sum is 35.

The square root of 977561 is about 988.7168452090. The cubic root of 977561 is about 99.2463679890.

The spelling of 977561 in words is "nine hundred seventy-seven thousand, five hundred sixty-one".